The number 53428
53428 is a composite number with 18 divisors. Its prime factorisation is × × 37. Divisors (18): 1, 2, 4, 19, 37, 38, 74, 76, 148, 361, 703, 722, 1406, 1444, 2812, 13357 … 53428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53428 is composite. Its prime factorisation is
- 3
The divisors add up to 101346; without 53428 itself that is 47918, so 53428 is deficient (47918 is less than 53428). Euler's totient φ(53428) = 24624 numbers up to 53428 share no factor with it.
- 4
The digits of 53428 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53428 = 2^{2} \times 19^{2} \times 37 \]53428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 101346 |
| Euler totient φ(n) | 24624 |
| Square | 2854551184 |
| Cube | 152512960658752 |
| Square root | 231.144976 (= 38√37) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3428 × |
53428 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and twenty-eight |
| Binary (base 2) | 1101000010110100 |
| Octal (base 8) | 150264 |
| Hexadecimal (base 16) | D0B4 |
| Base 3 | 2201021211 |
| As time | 53428 seconds = 14 h 50 min 28 s |
Is 53428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53428 ÷ 2 = 26714) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53428 ÷ 4 = 13357) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53428 a prime number?
No. 53428 = × × 37, so it is divisible by 2.
What are the factors of 53428?
1, 2, 4, 19, 37, 38, 74, 76, 148, 361, 703, 722, 1406, 1444, 2812, 13357, 26714, 53428.
What is 53428 in binary?
1101000010110100 (hexadecimal D0B4, octal 150264).
What is the square root of 53428?
About 231.1450, exactly 38√37.
Is 53428 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 53428?
It is a composite number with 18 divisors.